Use the given algebraic expression to complete the table of number patterns- 2- S- No 2- Expression 6-c- Terms 3 - 12 1st 2nd 3rd 4th 5th - 10th - 100th - i 2 n-1 1 3 5 7 9 - 19 - - - ii 3 n-2 2 5 8 11 - - - - - - iii 4 n-1 5 9 13 17 - - - - - - iv 7 n-20 27 34 41 48 - - - - - - v n2-1 2 5 10 17 - - - - 10-001 -

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Byju's Answer

Standard VII

Mathematics

Forming Equation from Solution

Use the given...

Question

Use the given algebraic expression to complete the table of number patterns.

S. No

Expression

Terms

1^st

2^nd

3^rd

4^th

5^th

…

10^th

…

100^th

…

(i)

2n − 1

1

3

5

7

9

-

19

-

-

-

(ii)

3n + 2

2

5

8

11

-

-

-

-

-

-

(iii)

4n + 1

5

9

13

17

-

-

-

-

-

-

(iv)

7n + 20

27

34

41

48

-

-

-

-

-

-

(v)

n² + 1

2

5

10

17

-

-

-

-

10, 001

-

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Solution

The given table can be completed as follows.

S.No.

Expression

Terms

1^st

2^nd

3^rd

4^th

5^th

…

10^th

…

100^th

…

(i)

2n − 1

1

3

5

7

9

-

19

-

199

-

(ii)

3n + 2

2

5

8

11

17

-

32

-

302

-

(iii)

4n + 1

5

9

13

17

21

-

41

-

401

-

(iv)

7n + 20

27

34

41

48

55

-

90

-

720

-

(v)

n² + 1

2

5

10

17

26

-

101

-

10,001-

-

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Similar questions

Question 2
Use the given algebraic expression to complete the table of number patterns:
$\begin{matrix} T e r m s S . N o & E x p r e s s i o n & 1^{s t} & 2^{n d} & 3^{r d} & 4^{t h} & 5^{t h} & . . . & 10^{t h} & . . . & 100^{t h} & . . . (i) & 2 n - 1 & 1 & 3 & 5 & 7 & 9 & - - - & 19 & - - - & - - - & - - - (i i) & 3 n + 2 & 2 & 5 & 8 & 11 & - - - & - - - & - - - & - - - & - - - & - - - (i i i) & 4 n + 1 & 5 & 9 & 13 & 17 & - - - & - - - & - - - & - - - & - - - & - - - (i v) & 7 n + 20 & 27 & 34 & 41 & 48 & - - - & - - - & - - - & - - - & - - - & - - - (v) & n^{2} + 1 & 2 & 5 & 10 & 17 & - - - & - - - & - - - & - - - & 10001 & - - - \end{matrix}$

Q. What is the total of all the numbers insides the

3 \times 3

box marked in the calendar given below?

Q. In which of the following tables x and y vary directly?
(i)

a	7	9	13	21	25
b	21	27	39	63	75

(ii)

a	10	20	30	40	46
b	5	10	15	20	23

(iii)

a	2	3	4	5	6
b	6	9	12	17	20

(iv)

a	1²	2²	3²	4²	5²
b	1³	2³	3³	4³	5³

Complete each one of the following magic squares by supplying the missing numbers:

(i)

	9	2
	5
8

(ii)

16	2
	10
		4

(iii)

2	15	16
9	12
		7	10
14			17

(iv)

	18	17	4
		14	11
	9	10
19			16

Q. Complete the multiplication chart given here.

Look at the green boxes in the chart. These show how we can get 12 by multiplying different numbers.

4 × 3
6 × 2
1 × 12

12 = 4 × 3, so 12 is a multiple of both 4 and 3. 12 is also a multiple of 6 and 2, as well as 12 and 1. We say 1, 2, 3, 4, 6, 12 are factors of 12.

• What are the factors of 10? _________

5 × 2
_ _ _

Can you do this from the chart?
• What are the factors of 36? ________
• Find out all the factors of 36 from the multiplication chart.
• What is the biggest number for which you can find the factors form this chart?
• What can you do for numbers bigger than that?

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S. No	Expression	Terms
S. No	Expression	1^st	2^nd	3^rd	4^th	5^th	…	10^th	…	100^th	…
(i)	2n − 1	1	3	5	7	9	-	19	-	-	-
(ii)	3n + 2	2	5	8	11	-	-	-	-	-	-
(iii)	4n + 1	5	9	13	17	-	-	-	-	-	-
(iv)	7n + 20	27	34	41	48	-	-	-	-	-	-
(v)	n² + 1	2	5	10	17	-	-	-	-	10, 001	-

S.No.	Expression	Terms
S.No.	Expression	1^st	2^nd	3^rd	4^th	5^th	…	10^th	…	100^th	…
(i)	2n − 1	1	3	5	7	9	-	19	-	199	-
(ii)	3n + 2	2	5	8	11	17	-	32	-	302	-
(iii)	4n + 1	5	9	13	17	21	-	41	-	401	-
(iv)	7n + 20	27	34	41	48	55	-	90	-	720	-
(v)	n² + 1	2	5	10	17	26	-	101	-	10,001-	-